Geodesic
Application of the spectral method to solving the three-dimensional Boltzmann equation with an external force
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 6, pp. 1092-1106 Cet article a éte moissonné depuis la source Math-Net.Ru

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The three-dimensional problem on the efflux of a gas jet into free space through a square hole in the presence of an external force is solved on the basis of the Boltzmann equation. The force influence is simulated by a spectral scheme. 
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Yu. V. Bibik; F. G. Cheremisin. Application of the spectral method to solving the three-dimensional Boltzmann equation with an external force. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 6, pp. 1092-1106. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_6_a11/

[1] Cheremisin F. G., “Diskretnaya approksimatsiya i primery resheniya uravneniya Boltsmana”, Vychisl. dinamika razrezhennogo gaza, VTs RAN, M., 2000, 37–74

[2] Bibik Yu. V., Zhuk V. I., “O dinamike solitonov dvumernykh nelineinykh evolyutsionnykh uravnenii gidrodinamicheskogo tipa”, Matem. modelirovanie, 12:9 (2000), 109–126 | MR | Zbl

[3] Bibik Yu. V., Zhuk V. I., Popov S. P., Osnovnye zakonomernosti vzaimodeistviya dvumernykh gidrodinamicheskikh solitonov, VTs RAN, M., 2001

[4] Stefanov S., Roussinov V., Cercignani C., “Rayleigh-Benard flow of a rarefied gas and its attractors. I: Convection regime”, Phys. Fluids, 14:7 (2002), 2255–2269 | DOI | MR

[5] Stefanov S., Roussinov V., Cercignani C., “Rayleigh-Benard flow of a rarefied gas and its attractors. II: Chaotic and periodic convective regimes”, Phys. Fluids, 14:7 (2002), 2270–2288 | DOI | MR

[6] Samarskii A. A., Nikolaev E. S., Metody resheniya setochnykh uravnenii, Nauka, M., 1978 | MR